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Finding the Fourth Proportional to 13,790.72, 19,033.31 and 7,821.12

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Solution

The fourth proportional to 13,790.72, 19,033.31 and 7,821.12 is: 10,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.72 : 19,033.31 = 7,821.12 : x
  2. Step 2: Convert to fraction form
    13,790.72/19,033.31 = 7,821.12/x
  3. Step 3: Cross multiply
    13,790.72x = 19,033.31 × 7,821.12
  4. Step 4: Simplify right side
    13,790.72x = 148,861,892.43
  5. Step 5: Solve for x
    x = 148,861,892.43/13,790.72
  6. Step 6: Final answer
    x = 10,794.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.